Sur les valeurs de certaines fonctions L automorphes en leur centre de symétrie

J.-L. Waldspurger

Compositio Mathematica (1985)

  • Volume: 54, Issue: 2, page 173-242
  • ISSN: 0010-437X

How to cite

top

Waldspurger, J.-L.. "Sur les valeurs de certaines fonctions $L$ automorphes en leur centre de symétrie." Compositio Mathematica 54.2 (1985): 173-242. <http://eudml.org/doc/89702>.

@article{Waldspurger1985,
author = {Waldspurger, J.-L.},
journal = {Compositio Mathematica},
keywords = {values of L functions at centre of symmetry; squares in field of rationality; newform; automorphic representation},
language = {fre},
number = {2},
pages = {173-242},
publisher = {Martinus Nijhoff Publishers},
title = {Sur les valeurs de certaines fonctions $L$ automorphes en leur centre de symétrie},
url = {http://eudml.org/doc/89702},
volume = {54},
year = {1985},
}

TY - JOUR
AU - Waldspurger, J.-L.
TI - Sur les valeurs de certaines fonctions $L$ automorphes en leur centre de symétrie
JO - Compositio Mathematica
PY - 1985
PB - Martinus Nijhoff Publishers
VL - 54
IS - 2
SP - 173
EP - 242
LA - fre
KW - values of L functions at centre of symmetry; squares in field of rationality; newform; automorphic representation
UR - http://eudml.org/doc/89702
ER -

References

top
  1. [D] P. Deligne: Formes modulaires et représentations de GL(2). In: Modular Functions of One Variable II, Springer Lecture Notes349, Berlin, Heidelberg, New York (1973) pp. 55-106. Zbl0271.10032MR347738
  2. [GJ] S. Gelbart et H. Jacquet: A relation between automorphic representations of GL(2) and GL(3), Ann. Scient. Ec. Norm. Sup. Il (1978) 471-542. Zbl0406.10022MR533066
  3. [G] R. Godement: Notes on Jacquet - Langlands' Theory, preprint IAS, (1970). Zbl0298.12004
  4. [H] G. Harder: General aspects in the theory of modular symbols, preprint. Zbl0526.10027
  5. [J] H. Jacquet: Automorphic Forms on GL(2), part II, Springer Lecture Notes278, Berlin, Heidelberg, New York (1972). Zbl0243.12005MR562503
  6. [JL] H. Jacquet et R.P. Langlands: Automorphic Forms on GL(2), Springer Lecture Notes114, Berlin, Heidelberg, New York, (1970). Zbl0236.12010MR401654
  7. [Shimizu] H. Shimizu: Theta series and automorphic forms on GL(2), J. Math. Soc. of Japan24 (1972) 638-683. Zbl0241.10016MR333081
  8. [Shimura] G. Shimura: On special values of zeta functions associated with cusp forms, Comm. Pure and Applied Math.29 (1976) 783-804. Zbl0348.10015MR434962
  9. [T] J. Tate: Fourier analysis in number fields and Hecke's zeta functions. In: Cassels and Fröhlich (eds.) Algebraic Number Theory, Academic Press (1967) pp. 305-347. MR217026
  10. [Tu] J.B. Tunnell: article à paraître. 
  11. [V] M-F. Vigneras: Valeur au centre de symétrie des fonctions L associées aux formes modulaires, Séminaire de Théorie des Nombres, Paris 1979-80, Progress in Math.12, Birkhäuser (1981) pp. 331-356. Zbl0453.10024
  12. [W1] J-L. Waldspurger: Correspondance de Shimura, J. Math. Pures et Appl.59 (1980) 1-133. Zbl0412.10019MR577010
  13. [W2] J-L. Waldspurger:Correspondances de Shimura et quaternions, preprint. Zbl0724.11026MR1103429
  14. [W3] J-L. Waldspurger: Quelques propriétés arithmétiques de certaines formes automorphes sur GL(2), Comp. Math.54 (1985) 121-171. Zbl0567.10022MR783510
  15. [We] A. Weil: Sur la formule de Siegel dans la théorie des groupes classiques, Acta Math.113 (1965) 1-87, ou Oeuvres Sc., vol. III, pp. 71-157. Zbl0161.02304MR223373

Citations in EuDML Documents

top
  1. Sergey Lysenko, Whittaker and Bessel functors for G 𝕊 p 4
  2. Dipendra Prasad, Trilinear forms for representations of GL ( 2 ) and local ϵ -factors
  3. Hervé Jacquet, Sur un résultat de Waldspurger II
  4. Hervé Jacquet, Stephen Rallis, Uniqueness of linear periods
  5. Matteo Longo, On the Birch and Swinnerton-Dyer conjecture for modular elliptic curves over totally real fields
  6. Hervé Jacquet, Chen Nan, Positivity of quadratic base change L -functions
  7. Bernadette Perrin-Riou, Travaux de Kolyvagin et Rubin

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.